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Finding the Fourth Proportional to 516.19, 773.24 and 310.64

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Solution

The fourth proportional to 516.19, 773.24 and 310.64 is: 465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.19 : 773.24 = 310.64 : x
  2. Step 2: Convert to fraction form
    516.19/773.24 = 310.64/x
  3. Step 3: Cross multiply
    516.19x = 773.24 × 310.64
  4. Step 4: Simplify right side
    516.19x = 240,195.41
  5. Step 5: Solve for x
    x = 240,195.41/516.19
  6. Step 6: Final answer
    x = 465.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.